Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: podzbiór właściwy

Sortuj według:

Ogranicz wyniki do:

Closed connected sets which remain connected upon the removal of certain, connected subsets

100%

Kline J. R.

Fundamenta Mathematicae

1924

tom 5

nr 1

3-10

The purpose of this paper is to prove: Theorem: Suppose M is a closed connected set containing more than one point such that if g is any connected subset of M, then M-g is connected. Under these conditions M is a simple closed curve. Theorem: If M is an unbounded closed connected set which remains connected upon the removal of any unbounded connected proper subset, then M is either an open curve, a ray of an open curve or a simple closed curve J plus OP, a ray of an open curve which has O and only O in common with J. Theorem: Suppose M is an unbounded closed connected set such that if g is any bounded connected subset of M, then M-g is connected. Then M is not a continuous curve.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Kline J. R.

1 1924

Wyniki wyszukiwania

Closed connected sets which remain connected upon the removal of certain, connected subsets